-2x plus 3y equals 1
3y - 37 = 2x2 - 18x3y = 2x2 - 18x + 37y = (2/3)x2 - 6x + (37/3)The graph is a parabola.Shanice outshines Manuel.
(x + 6y)(x - 3y)
the graph is moved down 6 units
7
yes.
No translation will invert a quadratic graph.
-2x plus 3y equals 1
3y - 37 = 2x2 - 18x3y = 2x2 - 18x + 37y = (2/3)x2 - 6x + (37/3)The graph is a parabola.Shanice outshines Manuel.
(x + 6y)(x - 3y)
the graph is moved down 6 units
7
The equation 2x - 3y = 6 is a linear equation and a linear equation is always has a straight line as a graph
9
x = -3y = -14
To find the extreme value of the parabola y = x2 - 4x + 3 ...(1) Take the derivative of the equation.y = x2 - 4x + 3y' = 2x - 4(2) Set the derivative = 0 and solve for x.y' = 2x - 40 = 2x - 42x = 4x = 4/2x = 2(3) Plug this x value back into the original equation to find the associated y coordinate.x = 2y = x2 - 4x + 3y = (2)2 - 4(2) + 3y = 4 - 8 + 3y = -1So the vertex is at (2, -1).
The graph is a parabola facing (opening) upwards with the vertex at the origin.